Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.1s (23.5%)

Memory

10.6MiB live, 1 122.9MiB allocated

Samples

715.0ms	8 253×	0	valid
0.0ms	2×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 383.0ms

ival-div: 166.0ms (43.4% of total)

ival-mult: 96.0ms (25.1% of total)

ival-add: 54.0ms (14.1% of total)

ival-sub: 46.0ms (12% of total)

exact: 11.0ms (2.9% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain316.0ms (7%)

Memory

-18.6MiB live, 228.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`
-	-	`t`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))`
-	-	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
-	-	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
-	-	`(*.f64 y z)`
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

163.0ms

512×

valid

Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 83.0ms (87.2% of total)

ival-mult: 6.0ms (6.3% of total)

ival-sub: 2.0ms (2.1% of total)

ival-add: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess135.0ms (3%)

Memory

21.4MiB live, 60.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	164
1	164	155
2	405	154
3	1042	154
4	2188	154
5	2948	154
6	3153	154
7	3176	154
8	3183	154
9	3183	154
10	3185	154
11	3191	154
0	13	11
0	20	11
1	31	11
2	57	11
3	108	11
4	189	11
5	315	11
6	486	11
7	666	11
8	798	11
9	800	11
0	800	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs

(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)

(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))

Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Compiler

Compiled 13 to 13 computations (0% saved)

simplify42.0ms (0.9%)

Memory

-25.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
cost-diff	128	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
cost-diff	384	(/.f64 (*.f64 y z) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize26.0ms (0.6%)

Memory

24.3MiB live, 24.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy	0	(*.f64 y z)
accuracy	0.00390625	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (33.6% of total)

ival-mult: 3.0ms (33.6% of total)

ival-sub: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series45.0ms (1%)

Memory

-24.8MiB live, 22.5MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (* y z)) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	z	@	inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	y	@	-inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	z	@	-inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms	x	@	inf	((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))

simplify125.0ms (2.8%)

Memory

-8.9MiB live, 188.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	958
1	242	958
2	634	958
3	1915	958
4	5132	958
0	8095	855

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

Inputs
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* -1/2 (* y z))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1/2 (* y z))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* -1/2 (* y z))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1/2 (* y z))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)

Outputs
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* 1/2 (* y z))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))

rewrite175.0ms (3.9%)

Memory

43.4MiB live, 269.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	20	32
1	65	32
2	503	32
3	6469	32
0	8004	29

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 280

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Outputs
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eval55.0ms (1.2%)

Memory: 1.3MiB live, 125.5MiB allocated
Compiler: Compiled 9 935 to 875 computations (91.2% saved)

prune13.0ms (0.3%)

Memory

1.5MiB live, 38.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	416	6	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	417	6	423

Accuracy

100.0%

Counts

423 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
▶	64.5%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
▶	68.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
	67.2%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
▶	36.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
▶	32.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 80 to 98 computations (-22.5% saved)

simplify65.0ms (1.4%)

Memory

-32.6MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 z y))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	124
0	37	124
1	64	120
2	98	120
3	150	120
4	231	116
5	381	116
6	546	116
7	721	116
8	851	116
9	853	116
0	853	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t

Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
z
#s(literal -1/2 binary64)
y
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
x
#s(literal 1/8 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(.f64 (.f64 y z) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t

localize108.0ms (2.4%)

Memory

6.4MiB live, 126.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	22.7417503342535	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal -1/2 binary64) (.f64 z y))
accuracy	43.00336347130225	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
accuracy	0	(fma.f64 x #s(literal 1/8 binary64) t)
accuracy	20.071219036484074	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	40.78806595380551	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
accuracy	0	(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
accuracy	0	(fma.f64 x #s(literal 1/8 binary64) t)
accuracy	0	(*.f64 z #s(literal -1/2 binary64))

Samples

92.0ms

256×

valid

Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 54.0ms (75.1% of total)

ival-mult: 13.0ms (18.1% of total)

ival-div: 3.0ms (4.2% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series26.0ms (0.6%)

Memory

4.9MiB live, 43.2MiB allocated

Counts

12 → 384

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) (.f64 z y)) (patch (.f64 #s(literal -1/2 binary64) (.f64 z y)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())

Outputs
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor 0 t) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 t) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 t) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 t) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms	z	@	-inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms	z	@	inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms	y	@	-inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms	z	@	0	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))

simplify134.0ms (3%)

Memory

2.4MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2870
1	389	2870
2	1033	2870
3	2756	2870
4	5731	2870
5	7952	2870
0	8138	2445

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 367

Calls

Call 1

Inputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
t
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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t
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(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* -1/2 (* y z))
(* -1/2 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1/2 z)
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
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(* y z)
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
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(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
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(* y z)
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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t
(+ t (* -1/2 (* y z)))
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(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
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(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
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(* y z)
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(* y z)
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
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(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
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(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* 1/8 x)
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))

Outputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
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(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
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(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
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(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(* y (+ (* -1/2 z) (/ t y)))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
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(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* y z)
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(*.f64 z y)
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(*.f64 z y)
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(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
t
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
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(- t (* 1/2 (* y z)))
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(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
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(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
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(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 x #s(literal 1/8 binary64) t))

rewrite240.0ms (5.3%)

Memory

-15.9MiB live, 323.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	102
0	37	102
1	140	94
2	1005	94
0	8177	94

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

12 → 338

Calls

Call 1

Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)

Outputs
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eval135.0ms (3%)

Memory: -0.3MiB live, 189.3MiB allocated
Compiler: Compiled 13 327 to 1 057 computations (92.1% saved)

prune30.0ms (0.7%)

Memory

-6.0MiB live, 80.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	758	1	759
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	760	5	765

Accuracy

100.0%

Counts

765 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.2%	(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
✓	64.5%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	68.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
✓	36.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
✓	32.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 31 to 40 computations (-29% saved)

simplify4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	16	34
1	23	34
2	30	34
3	32	34
0	32	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)

Outputs
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (.f64 y z) #s(literal -1/2 binary64) #s(approx (+ ( x 1/8) t) (*.f64 #s(literal 1/8 binary64) x)))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
z
#s(literal -1/2 binary64)
y
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (* x 1/8) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
x
#s(literal 1/8 binary64)

localize24.0ms (0.5%)

Memory

21.6MiB live, 59.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	32.244859198106376	#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.5% of total)

ival-add: 4.0ms (40.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

-20.2MiB live, 18.4MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t))))) (taylor inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (* 1/8 (/ x t)))) (taylor inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1))) (taylor -inf t) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1/8 (/ x t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1/8 (/ x t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1/8 (/ x t)) 1))) (taylor -inf t) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor 0 z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z)))) (taylor inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y)))) (taylor -inf z) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y)))) (taylor inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (* -1/2 (* y z))) (taylor 0 x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt t (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (/ t x))) (taylor inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (.f64 x #s(literal 1/8 binary64)))) (patch (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/8) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
1.0ms	x	@	inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms	x	@	-inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms	z	@	inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))
0.0ms	z	@	-inf	((+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t) (* x 1/8))

simplify117.0ms (2.6%)

Memory

3.4MiB live, 158.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	624
1	232	624
2	627	624
3	1654	624
4	3993	624
5	7181	624
0	8051	530

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

Inputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
t
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* 1/8 x)
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)

Outputs
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) (.f64 (.f64 z y) #s(literal -1/2 binary64)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 x #s(literal 1/8 binary64) t)
t
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1/2 (* y z))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
t
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(+ t (* 1/8 x))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* x (+ 1/8 (/ t x)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 x #s(literal 1/8 binary64) t)
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))

rewrite181.0ms (4%)

Memory

8.5MiB live, 290.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	16	29
1	48	29
2	325	29
3	3290	29
0	8214	27

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 141

Calls

Call 1

Inputs
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 z #s(literal -1/2 binary64))
#s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))

Outputs
#<batchref>
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eval75.0ms (1.7%)

Memory: -19.4MiB live, 57.3MiB allocated
Compiler: Compiled 5 997 to 456 computations (92.4% saved)

prune7.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	232	5	237

Accuracy

100.0%

Counts

237 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.2%	(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
✓	64.5%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	68.6%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
✓	36.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
✓	32.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 93 to 71 computations (23.7% saved)

regimes32.0ms (0.7%)

Memory

-15.8MiB live, 67.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))

Calls

9 calls:

5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	y
3.0ms	x
3.0ms	(*.f64 y z)
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
100.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes26.0ms (0.6%)

Memory

19.5MiB live, 58.6MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(approx (+ (* x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))

Calls

9 calls:

4.0ms	t
3.0ms	y
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Results

Accuracy	Segments	Branch
86.3%	3	`x`
89.1%	3	`y`
88.7%	4	`z`
87.2%	4	`t`
80.8%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
88.8%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
86.3%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
93.7%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
93.7%	3	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))

Calls

2 calls:

2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
93.7%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
93.7%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

-25.1MiB live, 12.9MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))

Calls

2 calls:

4.0ms	(*.f64 y z)
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.3%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
92.3%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes8.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))

Calls

4 calls:

2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	y
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
79.6%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
83.9%	3	`y`
88.3%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
88.3%	3	`(*.f64 y z)`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes23.0ms (0.5%)

Memory

-31.4MiB live, 48.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

Calls

9 calls:

6.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
4.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	z
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Results

Accuracy	Segments	Branch
68.6%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
68.6%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
68.6%	1	`y`
68.6%	1	`t`
68.6%	1	`x`
68.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
68.6%	1	`z`
68.6%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
68.6%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes16.0ms (0.3%)

Memory

-0.3MiB live, 38.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

Calls

9 calls:

4.0ms	x
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
36.3%	1	`x`
36.3%	1	`z`
36.3%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
36.3%	1	`y`
36.3%	1	`t`
36.3%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
36.3%	1	`(*.f64 y z)`
36.3%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
36.3%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1032814316690222e+36	2.5870924888641946e+41
0.0ms	-8.258670364431627e+87	-1.1887630021529545e+85

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1032814316690222e+36	2.5870924888641946e+41
0.0ms	-8.258670364431627e+87	-1.1887630021529545e+85

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5870924888641946e+41	1.0020471158808236e+45
0.0ms	-8.258670364431627e+87	-1.1887630021529545e+85

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.406770340332811e+174	2.413521980677382e+182
0.0ms	-2.2889436548528435e+225	-1.5104084957173915e+223

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify28.0ms (0.6%)

Memory

29.9MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	292
1	60	292

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 500000000000000022442856339037958392774656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (.f64 y z) #s(literal -1999999999999999856908446897273053991218829224892973825072790086090102342996835156604833180614213868754704018847177272268508969245882922355676436081259722717230056104357172387216661060317013292261774097833310920647333375901696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 y z) #s(literal 4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) y #s(approx (+ ( x 1/8) t) (*.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y #s(approx (+ ( x 1/8) t) (*.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000084841274748035923968 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (.f64 y z) #s(literal -4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 500000000000000022442856339037958392774656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
(if (<=.f64 (.f64 y z) #s(literal -1999999999999999856908446897273053991218829224892973825072790086090102342996835156604833180614213868754704018847177272268508969245882922355676436081259722717230056104357172387216661060317013292261774097833310920647333375901696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 y z) #s(literal 4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 y z) #s(literal -1999999999999999856908446897273053991218829224892973825072790086090102342996835156604833180614213868754704018847177272268508969245882922355676436081259722717230056104357172387216661060317013292261774097833310920647333375901696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness1.1s (24.9%)

Memory

-23.4MiB live, 538.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2870
1	389	2870
2	1033	2870
3	2756	2870
4	5731	2870
5	7952	2870
0	8138	2445
0	13	32
0	20	32
1	65	32
2	503	32
3	6469	32
0	8004	29
0	87	958
1	242	958
2	634	958
3	1915	958
4	5132	958
0	8095	855

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 232 to 147 computations (36.6% saved)

preprocess85.0ms (1.9%)

Memory: 21.0MiB live, 184.1MiB allocated
Remove: (sort y z)
Compiler: Compiled 390 to 180 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	27	124
0	37	124
1	64	120
2	98	120
3	150	120
4	231	116
5	381	116
6	546	116
7	721	116
8	851	116
9	853	116
0	853	116

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	27	124
0	37	124
1	64	120
2	98	120
3	150	120
4	231	116
5	381	116
6	546	116
7	721	116
8	851	116
9	853	116
0	853	116

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (23.5%)

explain316.0ms (7%)

preprocess135.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.9%)

localize26.0ms (0.6%)

series45.0ms (1%)

simplify125.0ms (2.8%)

rewrite175.0ms (3.9%)

eval55.0ms (1.2%)

prune13.0ms (0.3%)

simplify65.0ms (1.4%)

localize108.0ms (2.4%)

series26.0ms (0.6%)

simplify134.0ms (3%)

rewrite240.0ms (5.3%)

eval135.0ms (3%)

prune30.0ms (0.7%)

simplify4.0ms (0.1%)

localize24.0ms (0.5%)

series9.0ms (0.2%)

simplify117.0ms (2.6%)

rewrite181.0ms (4%)

eval75.0ms (1.7%)

prune7.0ms (0.2%)

regimes32.0ms (0.7%)

regimes26.0ms (0.6%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.2%)

regimes23.0ms (0.5%)

regimes16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.6%)

soundness1.1s (24.9%)

preprocess85.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	27	124
0	37	124
1	64	120
2	98	120
3	150	120
4	231	116
5	381	116
6	546	116
7	721	116
8	851	116
9	853	116
0	853	116